Question

$\frac{3}{ \sqrt{8} }$
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Answer 1

Olá, bom dia!

Resposta:

$\Large{\color{blue}{\boxed{\boxed{\boxed{\mathsf{\color{red}{\dfrac{3 \sqrt{2}}{4}}}}}}}}$

Explicação passo-a-passo:

$\mathsf{\dfrac{3}{\sqrt{8}}}$

$\mathsf{\sqrt{8} = \sqrt{2^2\cdot 2}}$

$\mathsf{\dfrac{3}{2\sqrt{2}}}$

$\mathsf{\dfrac{3}{2\sqrt{2}} \cdot \dfrac{2\sqrt{2}}{2\sqrt{2}}}$

$\mathsf{\dfrac{3 \sqrt{2}}{2 \sqrt{2 \cdot 2}}}$

$\mathsf{\dfrac{3\sqrt{2}}{2 \sqrt{4}}}$

$\mathsf{\dfrac{3 \sqrt{2}}{2 \cdot 2}}$

$\boxed{\mathsf{\dfrac{3 \sqrt{2}}{4}}}$